90588960 has 576 divisors, whose sum is σ = 415134720. Its totient is φ = 17418240.

The previous prime is 90588947. The next prime is 90588961. The reversal of 90588960 is 6988509.

90588960 is a `hidden beast` number, since 9 + 0 + 588 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90588961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2106699 + ... + 2106741.

It is an arithmetic number, because the mean of its divisors is an integer number (720720).

Almost surely, 2^90588960 is an apocalyptic number.

90588960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90588960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207567360).

90588960 is an abundant number, since it is smaller than the sum of its proper divisors (324545760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90588960 is a wasteful number, since it uses less digits than its factorization.

90588960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 90588960 is about 9517.8232805616. The cubic root of 90588960 is about 449.1158937809.

The spelling of 90588960 in words is "ninety million, five hundred eighty-eight thousand, nine hundred sixty".